Tensors have already found tremendous applications in image analysis and signal processing[1]}, [2]}, [3]}, [4]}, facial recognitions[5]} and computer vision[6]}, [7]}, [8]}, [2]}, including object and motion recognition and video understanding since 1997[10]}. Quan and Kanade[11]} and
Faugeras et al. [12]} and Quan [13]} studied projections from \(\mathbb {P}^{2}\)  to \(\mathbb {P}^{1}\) , solved the reconstruction problem by trifocal tensors and
presented two possible reconstructions in the case. Faugeras et al. [12]} investigated the self-calibration of a camera undergoing motion in a plane.
Hartley and Vidal [6]} use tensors to compute non-rigid structure and motion under perspective projection. The bifocal, trifocal and quadrifocal tensor have been established to reconstruct a 3D scene from its projection respectively in two, three or four images ([16]}, [17]}, [7]}, [19]}, [5]}).
